if the coefficient of the static friction between your sneakers and the ground is 0.800, what is the largest angle incline you could stand on without slipping?
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Given: The coefficient of the static friction between your sneakers and the ground is 0.800.
To find: The largest angle incline you could stand on without slipping.
Solution:
- The largest angle incline you could stand on without slipping is the angle of repose. It is defined as follows.
- The angle of repose is the minimum angle of inclination of a plane with the horizontal at which the body placed on it just begins to slide down.
- It is given by the following formula.
- Here, θ is the angle of repose and μ is the coefficient of the static friction between the sneakers and the ground.
- So, if the angle of incline is 71.61° or lower, and the coefficient of the static friction between your sneakers and the ground is 0.800, you don't slip.
Therefore, the largest angle incline you could stand on without slipping is 71.61°.
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